{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Parzen窗估计法是一种非参数函数估计方法，它能够较好地描述多维数据的分布状态。其基本思想就是利用一定范围内各点密度的平均值对总体密度函数进行估计。\n",
    "一般而言，设x为d维空间中任意一点，N是所选择的样本总数。\n",
    "为了对x处的分布概率密度P^(x) 进行估计，以x为中心作一个边长为hN的超立方体VN,则其体积为VN=hN^d，为计算落入vN,中的样本数k，构造一个函数使得：\n",
    "![parzen](https://private.codecogs.com/gif.latex?%5Cvarphi%20%28%5Bu_1%2Cu_2%2C...u_d%5D%29%3D%5Cleft%5C%7B%5Cbegin%7Bmatrix%7D%201%26%20if%20%7Cu_j%7C%5Cleq%5Cfrac%7B1%7D%7B2%7D%5C%5C%200%26others%20%5Cend%7Bmatrix%7D%5Cright.)\n",
    "并使φ(u)满足条件φ(u)≥0，且∫φ(u)du=1，使其具有概密的性质，则落入体积VN,中的样本数为：\n",
    "![image-2.png](https://img-blog.csdn.net/20180410170330699?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3NpYmlhbnRhaTU1NQ==/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70)\n",
    "则此处概率密度的估计值是：\n",
    "![image-3.png](https://img-blog.csdn.net/20180410170342814?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3NpYmlhbnRhaTU1NQ==/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70)\n",
    "上式是Parzen窗估计法的基本公式，φ(u)称为窗函数，或核函数。\n",
    "一般窗函数采用正态窗或者高斯窗，这里我们采用的是正态窗。\n",
    "并且绘制不同窗长度hN以及不同样本数下的估计曲线，进行比较分析。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 800x600 with 12 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# def Paezen_window(u):  # 正态分布窗函数\n",
    "#     s = math.exp(-(u**2)/2) / math.sqrt(2*math.pi)\n",
    "#     return s\n",
    "#\n",
    "# def Parzen(N, x, h1):\n",
    "#     n = len(N)\n",
    "#     hn = h1/(math.sqrt(n))\n",
    "#     Px = []\n",
    "#     for i in x:\n",
    "#         p = 0\n",
    "#         for j in N:\n",
    "#             p += Paezen_window((j - i) / hn)\n",
    "#         Px.append(p / (h1 * math.sqrt(n)))  ##概率密度公式\n",
    "#     return np.array(Px)\n",
    "\n",
    "def Paezen_window(u):  # 正态分布窗函数\n",
    "    s = np.exp(-(u * u) / 2.0) / math.sqrt(2 * math.pi)\n",
    "    return s\n",
    "\n",
    "def Parzen(N, x, h1):\n",
    "    n = len(N)\n",
    "    # hn = h1 / (math.sqrt(n))\n",
    "    hn = h1/(math.log(n) + 1)\n",
    "    Px = []\n",
    "    for i in x:\n",
    "        p = Paezen_window((N - i) / hn)\n",
    "        Px.append(np.sum(p) / (h1 * math.sqrt(n)))  ##概率密度公式\n",
    "    return np.array(Px)\n",
    "\n",
    "def get_N(n):\n",
    "    nn = np.random.normal(0,1,n).reshape([-1,1])\n",
    "    return nn\n",
    "\n",
    "x = np.arange(-5, 5, 0.1).reshape([-1, 1])\n",
    "N_number = [1,16,256,10000]\n",
    "h1 = [0.25,1,4]\n",
    "N = []\n",
    "result = []\n",
    "for i in range(4):\n",
    "    N_i = get_N(N_number[i])\n",
    "    N.append(N_i)\n",
    "### ----> 此时 N = [N1,N2,N3,N4]\n",
    "for j in range(0,4):\n",
    "    for k in range(0,3):\n",
    "        result_i = Parzen(N[j],x,h1[k])\n",
    "        result.append(result_i)\n",
    "### -----> 此时 result = [result_1,result_2,result_3,result_4,result_5, result_6,\n",
    "###              result_7,result_8,result_9,result_10,result_11,result_12]\n",
    "plt.figure(figsize=(8,6),dpi=100)\n",
    "for i in range(1,13):\n",
    "    plt.subplot(4,3,i)\n",
    "    plt.plot(x,result[i-1])\n",
    "    if i % 3 == 1:\n",
    "        plt.ylabel('N={0}'.format(N_number[int((i-1)/3)]))\n",
    "    if i <= 3:\n",
    "        plt.title('h1={}'.format(h1[i-1]))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
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